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12041231312196 = 22321660720140823
BaseRepresentation
bin1010111100111001000101…
…0100001010010101000100
31120122010112010001210002100
42233032101110022111010
53034240420203442241
641335355412112100
72351643636253542
oct257162124122504
946563463053070
1012041231312196
113922726185a29
121425808005630
136946388aa938
142d8b2790ad92
1515d347a7a9b6
hexaf39150a544

12041231312196 has 36 divisors (see below), whose sum is σ = 30439391254272. Its totient is φ = 4013501881584.

The previous prime is 12041231312179. The next prime is 12041231312219. The reversal of 12041231312196 is 69121313214021.

12041231312196 is a `hidden beast` number, since 1 + 2 + 0 + 412 + 3 + 131 + 21 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12041231312196.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9472560 + ... + 10668263.

It is an arithmetic number, because the mean of its divisors is an integer number (845538645952).

Almost surely, 212041231312196 is an apocalyptic number.

It is an amenable number.

12041231312196 is an abundant number, since it is smaller than the sum of its proper divisors (18398159942076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12041231312196 is a wasteful number, since it uses less digits than its factorization.

12041231312196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20157440 (or 20157435 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12041231312196 in words is "twelve trillion, forty-one billion, two hundred thirty-one million, three hundred twelve thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 16607 33214 49821 66428 99642 149463 199284 298926 597852 20140823 40281646 60422469 80563292 120844938 181267407 241689876 362534814 725069628 334478647561 668957295122 1003435942683 1337914590244 2006871885366 3010307828049 4013743770732 6020615656098 12041231312196